Lattice rule algorithms for multivariate approximation in the average case setting

Journal of Complexity ◽

10.1016/j.jco.2006.10.006 ◽

2008 ◽

Vol 24 (2) ◽

pp. 283-323 ◽

Author(s):

Frances Y. Kuo ◽

Ian H. Sloan ◽

Henryk Woźniakowski

Keyword(s):

Multivariate Approximation ◽

Average Case ◽

Average Case Setting ◽

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Tractability of Linear Multivariate Problems in the Average Case Setting

Monte Carlo and Quasi-Monte Carlo Methods 2006 ◽

10.1007/978-3-540-74496-2_27 ◽

2008 ◽

pp. 461-493 ◽

Author(s):

Fred Hickernell ◽

Greg Wasilkowski ◽

Henryk Woźniakowski

Keyword(s):

Average Case ◽

Multivariate Problems ◽

Average Case Setting

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Optimal Recovery of Functions on the Sphere on a Sobolev Spaces with a Gaussian Measure in the Average Case Setting

Analysis in Theory and Applications ◽

10.4208/ata.2015.v31.n2.5 ◽

2015 ◽

Vol 31 (2) ◽

pp. 154-166 ◽

Author(s):

Z. X. Huang and H. P. Wang

Keyword(s):

Sobolev Spaces ◽

Gaussian Measure ◽

Optimal Recovery ◽

Average Case ◽

Average Case Setting

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Quasi-polynomial tractability of linear problems in the average case setting

Journal of Complexity ◽

10.1016/j.jco.2013.10.006 ◽

2014 ◽

Vol 30 (1) ◽

pp. 54-68 ◽

Author(s):

Guiqiao Xu

Keyword(s):

Average Case ◽

Linear Problems ◽

Average Case Setting

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(S, T)-Weak Tractability of Multivariate Linear Problems in the Average Case Setting

Acta Mathematica Scientia ◽

10.1007/s10473-019-0409-x ◽

2019 ◽

Vol 39 (4) ◽

pp. 1033-1052 ◽

Author(s):

Yongping Liu ◽

Guiqiao Xu

Keyword(s):

Average Case ◽

Linear Problems ◽

Multivariate Linear Problems ◽

Average Case Setting

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Average case setting

Noisy Information and Computational Complexity ◽

10.1017/cbo9780511600814.004 ◽

1996 ◽

pp. 121-214

Keyword(s):

Average Case ◽

Average Case Setting

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Average case tractability of multivariate approximation with Gaussian kernels

Journal of Approximation Theory ◽

10.1016/j.jat.2018.11.001 ◽

2019 ◽

Vol 239 ◽

pp. 51-71 ◽

Author(s):

Jia Chen ◽

Heping Wang

Keyword(s):

Multivariate Approximation ◽

Average Case ◽

Gaussian Kernels

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Integration and $L_2$-Approximation: Average Case Setting with Isotropic Wiener Measure for Smooth Functions

Rocky Mountain Journal of Mathematics ◽

10.1216/rmjm/1181072003 ◽

1996 ◽

Vol 26 (4) ◽

pp. 1541-1557 ◽

Author(s):

Klaus Ritter ◽

Grzegorz W. Wasilkowski

Keyword(s):

Wiener Measure ◽

Smooth Functions ◽

Average Case ◽

Average Case Setting

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Complexity of multilinear problems in the average case setting

Journal of Complexity ◽

10.1016/0885-064x(91)90047-2 ◽

1991 ◽

Vol 7 (1) ◽

pp. 98-120

Author(s):

Tomasz Jackowski

Keyword(s):

Average Case ◽

Average Case Setting

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On Linear Versus Nonlinear Approximation in the Average Case Setting

Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan ◽

10.1007/978-3-319-72456-0_46 ◽

2018 ◽

pp. 1035-1049

Author(s):

Leszek Plaskota

Keyword(s):

Nonlinear Approximation ◽

Average Case ◽

Average Case Setting

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Polynomial-Time Algorithms for Multivariate Linear Problems with Finite-Order Weights: Average Case Setting

Foundations of Computational Mathematics ◽

10.1007/s10208-007-9003-z ◽

2007 ◽

Vol 9 (1) ◽

pp. 105-132 ◽

Author(s):

G. W. Wasilkowski ◽

H. Woźniakowski

Keyword(s):

Finite Order ◽

Polynomial Time ◽

Average Case ◽

Polynomial Time Algorithms ◽

Linear Problems ◽

Multivariate Linear Problems ◽

Average Case Setting

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